Endpoint Approximation of Standard Three-Step Multi-Valued Iteration Algorithm for Nonexpansive Mappings

Authors

Nisha Shrama, Department of Mathematics, Pt. J.L.N. Govt. College Faridabad, IndiaFollow
Lakshmi Narayan Mishra, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, IndiaFollow
Vishnu Narayan Mishra, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887, Anuppur, Madhya Pradesh, IndiaFollow
Hassan Almusawa, Department of Mathematics, College of Sciences, Jazan University, Jazan 45142, Saudi ArabiaFollow

Author Country (or Countries)

India

Abstract

This paper is intended to introduce the standard three-step iteration algorithm to approximate endpoints of nonexpansive multi-valued mapping in the Banach spaces framework. Some weak and strong results under appropriate conditions for the iterative sequence generated by the proposed process convergence outcomes are discussed. In general, the results improve and unify some of Panyanak’s recent analysis (J. Fixed Point Theory Appl. (2018)).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150109

Recommended Citation

Shrama, Nisha; Narayan Mishra, Lakshmi; Narayan Mishra, Vishnu; and Almusawa, Hassan (2021) "Endpoint Approximation of Standard Three-Step Multi-Valued Iteration Algorithm for Nonexpansive Mappings," Applied Mathematics & Information Sciences: Vol. 15: Iss. 1, Article 9.
DOI: http://dx.doi.org/10.18576/amis/150109
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss1/9